Cremona's table of elliptic curves

97344 = 2⁶ · 3² · 13²

Field	Data	Notes
Atkin-Lehner	2+ 3- 13+	Signs for the Atkin-Lehner involutions
Class	97344bd	Isogeny class
Conductor	97344	Conductor
∏ cp	8	Product of Tamagawa factors cp
deg	3833856	Modular degree for the optimal curve
Δ	-3.7937042005271E+21	Discriminant
Eigenvalues	2+ 3-  1  2 -2 13+ -5 -2	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-342732,2964403312]	[a1,a2,a3,a4,a6]
j	-169/144	j-invariant
L	0.90305293501812	L(r)(E,1)/r!
Ω	0.11288164182948	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	97344eu1 3042c1 32448z1 97344bk1	Quadratic twists by: -4 8 -3 13

Hecke Eigenvalues for elliptic curve 97344bd1

a2	a3	a5	a7	a11	a13	a17	a19	a23	a29	a31	a37	a41	a43	a47	a53	a59	a61	a67	a71	a73	a79	a83	a89	a97
+	-	1	2	-2	+	-5	-2	-6	-9	4	-11	5	-10	2	-1	8	11	2	-14	13	-4	-6	2	2

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Quadratic twists for elliptic curve 97344bd1

-4	8	-3	13
97344eu1	3042c1	32448z1	97344bk1

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Data from Elliptic Curve Data by J. E. Cremona.
Design inspired by The Modular Forms Explorer by William Stein.

Part of Computational Number Theory
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